A Note on Sinθ Theorems for Singular Subspace Variations ∗

Abstract

New perturbation theorems for bases of singular subspaces are proved. These theorems complement the known sinΘ theorems for singular subspace perturbations, taking into account a kind of sensitivity of singular vectors discarded by previous theorems. Furthermore these results guarantee that high relative accuracy algorithms for the SVD are able to compute… (More)

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@inproceedings{Dopico2000ANO, title={A Note on Sinθ Theorems for Singular Subspace Variations ∗}, author={Froil{\'a}n M. Dopico}, year={2000} }